Equation 7 · Part 1 · What a Rule Can Bind When the System Changes Weekly
Symbol τ
What this part means
the halving time.
Its job in the formula
τ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol τ→Article meaning
Where the article explains it
If a threshold is fixed at and efficiency improves with a halving time , the capability reachable below the threshold grows as though the budget were expanding:
The passage around this formula
Second, the meaning of a fixed number drifts, and quickly . Ho and colleagues, analysing more than two hundred language-model evaluations from 2012 to 2023, estimated that the compute required to reach a set performance threshold has halved roughly every eight months, with a 95% confidence interval of about five to fourteen months [ 19 ] . If a threshold is fixed at and efficiency improves with a halving time , the capability reachable below the threshold grows as though the budget were expanding:
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.